Math MPM2D Winter 2017 - AM


Principles of Mathematics, Grade 10, Academic
This course enables students to broaden their understanding of relationships and extend their problem-solving and algebraic skills through investigation, the effective use of technology and abstract reasoning. Students will explore quadratic relations and their applications, solve and apply linear systems, verify properties of geometric figures using analytic geometry, and investigate the trigonometry of right and acute triangles. Students will reason mathematically and communicate their thinking as they solve multi-step problems.

Prerequisite: Mathematics, Grade 9, Academic, or Mathematics Grade 9, Applied and Mathematics Transfer course, Grade 9, Applied to Academic

NOTE: Parent Teacher Interviews are on Thursday March 29, 2018. Please email me for an appointment : richard.kaminski@ocdsb.ca

Course Calendar
Date:
Topics/Lessons
Resources
Video Tutorials
Assigned Work ( * indicates extension question)
Feb 1
Welcome to MPM2D


o HW
Feb 2
01 Review Number & Operations

Video Lesson - Fractions
p. 461 #1,3,4,5
p.463 #1 to 5
p.462 #1,2
Feb 5
021 Review Simply and solve

Video Lesson - Simplifying & Solving
p.471 #1abf, 2bc, 3, 4ac, 5cd, 6bc
p.472 #1def, 3
Feb 6
Review Linear
Relationships

Video Lesson - Graphing Linear Relations
p. 4,5, 6 #2 to 4, 5ace, 7abc, 11acf
Feb 7
Review


Complete for HW
Assessment tomorrow
Feb 8
Grade 9 Assessment


No HW
Feb 12
Solving Linear Systems Graphically

Video Lesson
p. 26 # 1ab, 2i, 3ab, 5abf, 10, 18*
Feb 13
Substitution

Video Lesson
p. 39-40 # 3, 4bf, 5be, 9bcef
Feb 14
Solving Linear Systems by Elimination

Video Lesson
p.54 #1, 4, 6odd, 11odd, 20*
*extension question
Feb 15
Distinct or Coincident Lines

Video Lesson
p. 59 # 1, 2a, 3abcfh, 4, 6*
*extension question
Feb 20
Modeling with Linear Equations

Video Lesson
p.27 #8, 12, 13
p.39 #10, 11, 14, 15
p.55 #8, 9
Feb 21
Applications of Linear Systems

Video Lesson
p.27 #8
p.55 #13
p. 64 #7
Feb 22
Work Period DVT Problems



WS dvt Problems
Feb 23
Applications of Linear Systems -Percent /Mixture

Video Lesson
p.27 #7
p. 39 #11
p. 55#10 and 12

Review for Test Wednesday
p. 62 #5a, 6, 7bc,9, 12acd, 13, 14, 16, 17, 18
Feb 26
Application of Linear Systems - Money and Geometry

video Lesson
p. 40 #17
p. 55 #9
Review for Test Wednesday
p. 62 #5a, 6, 7bc,9, 12acd, 13, 14, 16, 17, 18
Feb 27
Review - Linear Systems


p. 62 #5a, 6, 7bc,9, 12acd, 13, 14, 16, 17, 18
Feb 28
Linear System Unit Test








Mar 1
Slope Review


p 69-70 #3, 5abc
Mar 2
Midpoint

Video Lesson
p. 78 to 80 #2ac, 3, 4e, 5, 6, 8, 9, 11
Mar 5
Length of a line Segment

Video Lesson
p. 86-87 #1ac, 4cd, 6, 7(draw), 12ab, 15
Mar 6
Circle in Standard Position

Video Lesson
p. 91-92 # 1, 2, 3a, 4, 5, 6, 8
Mar 7
Classifying Geometric Shapes
Quiz #1 - ANS Posted

Video Lesson
p. 101-103 2, 5, 6b, 7, 8, 11, 12, 16d
Mar 8
Special Lines in Triangles

Video Lesson
p.79 #12
p.80 #13a
p.102 #4
p.110 #13
Mar 9
Triangle Centers

No Video Lesson
p.120-121 #9, 10
and question on last page.

March Break 12-16



Mar 19
Unit Review




Mar 20
Extra Review



Mar 21
Analytic Geometry Unit Test








Mar 22
Introduction to Quadratic Relations

Video Lesson
p.137 #1, 2, 3, 4, 5ab, 6, 7
Mar 23
Characteristics of Quadratic Relations

Video Lesson
p. 145 # 1 to 6, 7ef, 9ab
Mar 26
Factored Form

Video Lesson
p.155 - 157 #2, 3, 4ace, 5, 6ace, 7, 10
Mar 27
Intro to Algebra Tiles

Video using Algebra Tiles
Worksheet
Mar 28
Add, Subtracting, Multiply Polynomials without Tiles

Video without Algebra Tiles
p.166­-167 # 3 to 5 (odd), 8 to ­10 (odd)
Mar 28
Common Factoring

Video Lesson
p.202-203 #1, 3bd, 5bc, 6def, 7, 8, 9, 10
Mar 29
Catchup Day
p.166­-167 # 3 to 5 (odd), 8 to ­10 (odd)
p.202-203 #1, 3bd, 5bc, 6def, 7, 8, 9, 10


Apr 3
Algebra Tiles - Simple Trinomials

video lesson
Complete worksheet for homework.
Apr 4
Take-up 3.7 worksheet and complete assigned work.


p.211 # 2, 4; (6, 7, 8)(ace); 9ace
(look for common factors first); 12ace, 13ac
Apr 5
Factoring Complex Trinomials
Decomposition

video lesson
p. 223-224 #3bc, 5abc, 6, 7abc, 11, 15,
17 (challenging)(GCF first)
Apr 6
Special Cases

video lesson
p. 230-231 #3bc, 5, 6, 7, 10, 11, 14
Apr 9
Models Using Factored & Standard Form

no video
p.175 #1, 2, 4, 6, 9, 11, 15*
Apr 10

OSSLT - Test


Apr 11
Factoring Strategies


video lesson
p. 236 # 1, (6 to 8)ace, 9, 10, 12, 14ac, 17*
Apr 12
Applications of Factored Form


video lesson
p. 147 # 12, 13, 14
p.157 #13, 14, 15
Apr 13
Review

The above "Quadratics Relations Review" pdf is the same as the textbook review but numbered differently


read through all notes
revisit homework questions
redo questions that caused problems
p.184 # 1, 3, 5, 8, 9, 10, 11ace, 12,
14ace, 15ac, 16
p.240 # 2, 6, 7, 9, 10, 11, 13ace, 16ace,
17ace, 19ace
Apr 17
Unit Test



Apr 18
Scaling and Reflecting Quadratic

video lesson
p. 256 # 1, 2, 4 ,5 ,8
Apr 19
Translations of Quadratic Relations

video lesson
262 # 1, 2, 3abe, 4, 5
Apr 20
Vertex Form and Graphing Transformations

video lesson
p.269 # 1 - 3 (basics)
  1. 4ace, 5ace, 6, 7ace
  2. 10, 11, 13, 14, 15
Apr 23
Modeling Using Quadratic Equations

video lesson
p. 280 #1, 2ace, 3ace, 4, 5ace, 6cd, 7b,
8(w / diagram), 10, 15
Apr 24
Relating Three Forms of Quadratic Equations - Partial Factoring

video lesson
p.293 #4c, 5a, 6a, 9ac, 10c
p.301 #4c, 5ae, 7c
Apr 25
Work Period - Word Problems


p.294 #11, 13, 16, 20*
p.302 #9, 12, 13, 16*
Apr 26
Catchup Day



Apr 27
PD Day - No School



Apr 30
Solving Quadratic Equations

video lesson
p.320 #4ac, 6ace, 7ace, 11
May 1
Completing the square

video lesson
p.331 #2ab, 3ab, 5a, 7ab, 9, 11, 16
May 2
Quadratic Formula

video lesson
p.343 # 1ad, 3, 4bdf, 5ace, 8bdf, 9ad, 10cd,
14, 19*
May 3
Predicting the Number of Roots of Quadratics

video lesson
p.350 # 2, 3, 4, 5, 7, 9, 10, 12
May 4
Word Problems


video lesson
p. 357 #2, 3, 5, 7, 9, 14
May 7
Review


p. 160#1, 2a, 3, 4, 7, 9
p. 274 #5, 7
p. 335 #7
p. 241 #19abe
p.185 #3b, 5, 9, 11ad, 12, 16
p. 304 #1a, 3, 5, 12, 15ac,
p. 361 #5, 7, 9, 11ae, 17
May 8
Review



May 9
Quadratics II Unit Test








May 10
Similar Triangles

video lesson
No Similar Triangle Homework.
Study for Quadratics Test - Monday
May 11
Application Similar Triangles

video lesson
Assigned Work: p.386 # 4, 6, 9, 12, 14*
May 14
Trigonometric Ratios

video lesson
p.398 #7, 8, 9, 10, 11, 13
May 15
Solving Right Triangles Problems

video lesson
p.412 #2,3,7,10
May 16
Sine Law

video lesson
p. 427 #2a,c
p. 432 #2, 3ace, 5ac, 6, 14, 15
May 17
Solving Double Triangles Problem

No video lesson
p. 413-414 #11, 15
p. 417 # 14*, 15, 16
May 18
Cosine Law

video lesson
p. 438 #2 , 3b
p. 443 #2, 3, 4, 5ac
May 22
Sine Law and Cosine Law

video lesson
p. 449 #1, 2, 3 and Worksheet
May 23
Application Questions

video lesson
p. 450 #4 (see Ex.2), 9 (see Ex.1)
p. 450 #5, 8, 11, 13, 15
May 24
Extra Class on Word Problems



May 25
Trigonometry Review


p. 416 #2, 3, 5, 6, 9, 13, 14, 16
p. 453 #2, 3, 7, 8, 11, 12

Extra Review Day




Trigonometry Unit Test




Summary of Course Practice Exam


Complete over holidays

Summative Review #1 - Analytic Geometry




Summative Review #2 - Trigonometry




Summative Review #3 - Quadratics




Day 1 - Summative




Day 2 - Summative




Day 3 - Summative




Day 4 - Summative




Exam Review




EXAM 9:00 AM